Answer:
42.9 cm
Explanation:
given,
speed of sound, v = 340 m/s
Frequency of tuning fork, f = 198 Hz
The length of the shortest air column closed at one end.
this is the case of the standing wave.
L = N λ
N = the number of complete sine waves in the standing wave.
The standing wave in the problem is the first harmonic of a pipe open at one end.
N = 1/4
we know,
v = f λ
340 = 198 x λ
λ = 1.717 m
now,
L = N λ
[tex]L = \dfrac{1}{4}\times 1.717[/tex]
[tex]L = 0.429\ m[/tex]
L = 42.9 cm
minimum length of the required pipe is 42.9 cm.
